Shapes
What is the formula for area of a rectangle
A = l x w
What are the 4 ways to say solutions to a quadratic?
Solution, root, zero, x-int
What is one exponential equation
y = abx
y= a(1+r)x
y= (1 - r)x
What is the slope-intercept equation
y = mx + b
What is the slope between (7, 4) and (7, -1)
Undefined
The perimeter of a square is 20 what is the length of one side?
5
What are the possible zeros of the quadratic function y = 22x2 - 8x
{0,4/11}
When looking at a table when do you use an exponential equation vs. a linear equation
Exponential when you multiply
Linear when you add/subtract
Susan has 48 coins totaling $8.00 and the coins are all nickels and quarters.
Write a system of equations that can be used to determine the number of nickels, n, and quarters, q, that Susan has?
n + q = 48
.05n + .25q = 8
If a toy rocket is launched upward from a platform with an initial velocity of 4 feet per second, then its height h after x seconds is given by the equations
h(x) = −2x2+ 8x + 10.
5 seconds
The width of a rectangle is 2 less than its length. The perimeter of the rectangle is 60 inches. What is the width of the rectangle?
Width: 14
Find the positive zero of the following:
x2 - 64
x = 8
Kelly is studying bacteria. She begins with 5 and realizes that they double each day. How many will she have in a week?
640
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from the y- intercept of the function?
The initial value is $20 (membership fee)
Solve the following system of equations
x+y=18
x-y=10
What is (14,4)
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
L = 66
What is the value of the larger roots of the quadratic equation?
f(x) = 3x2 -14x + 15
x = 3
Cole buys a car for 10,000 in 2020. His car depreciates at a rate of 4.5% per year. In what year will his car be worth less than $5,000
2036
A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maximum number of guests that can attend the banquet for the costs to remain under the budget?
51
Which is an equation of the line that passes through the point (6,-2) and is perpendicular to 3x + 2y = 6?
y = -3/2x + 6
y = -3/2x + 7
y = 2/3x -6
y = 2/3x + 3
y = 2/3x -6
The perimeter of the rectangle is 14x2 + 2x. The length of the rectangle is 3x2 – 4x. Find the width of the rectangle.
Width = 4x2 + 5x
Hannah goes cliff diving and jumps off of a cliff. Her jump is modeled by the equation. (round to the nearest whole number)
What is the max height?
h(x) = -16x2 + 124x
240 ft
Eliza invests $450 in a savings account with 6.02% interest per year, but never adds any more money. Mary has $500 in a bank account and adds $50 each year. When will Eliza have more money than Mary?
22 years
The price of a certain car in 2005 is $15,000. The price of the same kind of car in 2013 is $31,400. If the price increases at a constant rate each year, what will the price of the car be in 2025?
$56,000
This year the senior class at High School A and the senior class at High School B both planned trips to the fair. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Van: 8 Bus: 22